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dedylja [7]
3 years ago
12

Which sum or difference identity could be used to prove that cos(270º - thata) = -sin thata is an identity?

Mathematics
1 answer:
timama [110]3 years ago
3 0

Answer:

the answer is 3475673456

Step-by-step explanation:

d4857d568df what

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The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
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Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

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